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How to Prove It: A Structured Approach, 2nd Edition

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Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new …

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Would it be beneficial to relearn math from the ground up?(r/math)

I did it and I definitely recommend it. I was always “bad” at math when I was in school but I decided to quit my job and go back to school to study physics when I was 29. The math thing had me worried so I got on Khan Academy and started at the very beginning with addition. They used to have a “tree of knowledge” or something like that which made it easy to start at the bottom and work your way up. It’s structured a lot differently now but it seems like you could still do the same thing I did.

Basically, I started off only doing the exercises. Since I started at the very beginning, these were really easy and went really fast. Once I hit something I didn’t know, I would watch the video for it. If I found myself guessing (even if I was getting the answers right) I would also watch the video. It feels a little weird to start with addition but you don’t know where your gaps are and it’s better to fill them in early rather than be confused by them later.

Eventually it got to the point where I was watching every video. The videos are really great and the entire process was extremely fun for me.

You can use Khan Academy to get the equivalent of a community college math education, meaning all of the lower division calculus, differential equations, and linear algebra courses that you would need to transfer into a math-heavy university degree at the junior level. The linear algebra material is actually a good bit more rigorous than a normal lower division linear course at a real university.

So yeah, I think it’s a great idea. If you’re doing it because you really want to get better at math, you’re going to have a great time. I eventually changed my major to math because it’s my favorite thing in the world, which is pretty hilarious considering I dropped out of college when I was 19 because I couldn’t handle the math requirements.

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